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%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Barry Francis Smith",
%%%     version         = "1.07",
%%%     date            = "25 November 2011",
%%%     time            = "16:11:11 MDT",
%%%     filename        = "smith-barry-francis.bib",
%%%     address         = "
%%%
%%%
%%%                        ",
%%%     telephone       = "?n/a?",
%%%     FAX             = "?n/a?",
%%%     checksum        = "15191 354 1574 15525",
%%%     email           = "bsmith at mcs.anl.gov (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "Software for scientific computing,",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications of
%%%                        Barry Francis Smith.  The companion LaTeX file
%%%                        smith-barry-francis.ltx can be used to typeset
%%%                        this bibliography.
%%%
%%%                        At version 1.07, the year coverage looked
%%%                        like this:
%%%
%%%                             1988 (   1)    1991 (   1)    1994 (   3)
%%%                             1989 (   1)    1992 (   3)
%%%                             1990 (   1)    1993 (   4)
%%%
%%%                             Article:          7
%%%                             InProceedings:    3
%%%                             TechReport:       4
%%%
%%%                             Total entries:   14
%%%
%%%                        This file is available as part of the BibNet
%%%                        Project.  The master copy is available for
%%%                        public access on ftp.math.utah.edu in the
%%%                        directory tree /pub/bibnet/authors.  It is
%%%                        mirrored to netlib.bell-labs.com in the directory
%%%                        tree /netlib/bibnet/authors, from which it is
%%%                        available via anonymous ftp and the Netlib
%%%                        service.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================
%%% ====================================================================
%%% Journal abbreviations:
@String{j-INF-TECH              = "Informations-technik"}

@String{j-NUM-MATH              = "Num. Math"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM J. Sci.~Stat.~Comput."}

%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-AMS                 = "Amer. Math. Soc."}

@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-ANL                 = "Argonne National Laboratory"}

@String{pub-ANL:adr             = "Argonne, IL, USA"}

@String{pub-IEEE                = "IEEE"}

@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300, Silver
                                  Spring, MD 20910, USA"}

@String{pub-SIAM                = "SIAM"}

@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

%%% ====================================================================
%%% Bibliography entries:
@Article{Douglas:1988:INM,
  author =       "Craig C. Douglas and Michael E. Henderson and Susumu
                 Horiguchi and Willard L. Miranker and Barry F. Smith
                 and Andrew Winkler",
  title =        "The interaction of numerics and machines",
  journal =      j-INF-TECH,
  volume =       "30",
  pages =        "83--98",
  year =         "1988",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
}

@Article{Douglas:1989:USA,
  author =       "Craig C. Douglas and Barry F. Smith",
  title =        "Using symmetries and antisymmetries to analyze a
                 parallel multigrid algorithm: the elliptic boundary
                 value problem case",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "26",
  number =       "6",
  pages =        "1439--1461",
  month =        dec,
  year =         "1989",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "91d:65187",
  MRreviewer =   "Murli M. Gupta",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database;
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  acknowledgement = ack-nhfb,
  keyword =      "multigrid, parallel, robust multigrid",
}

@Article{Widlund:1990:DDA,
  author =       "Olof B. Widlund and Barry F. Smith",
  title =        "A domain decomposition algorithm using a hierarchical
                 basis",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "11",
  pages =        "1212--1220",
  year =         "1990",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  keyword =      "hierarchical basis, Schur complement, domain
                 decomposition",
}

@Article{Smith:1991:DDA,
  author =       "Barry F. Smith",
  title =        "A domain decomposition algorithm for elliptic problems
                 in three dimensions",
  journal =      j-NUM-MATH,
  volume =       "60",
  pages =        "219--234",
  year =         "1991",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  keyword =      "domain decomposition, wirebasket methods, iterative
                 substructuring",
}

@InProceedings{Gropp:1992:EDD,
  author =       "William D. Gropp and Barry F. Smith",
  booktitle =    "Domain Decomposition Methods in Science and
                 Engineering",
  title =        "Experiences with Domain Decomposition in Three
                 Dimensions: Overlapping {S}chwarz Methods",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "323--333",
  year =         "1992",
  ISBN =         "0-8218-5158-6",
  ISBN-13 =      "978-0-8218-5158-6",
  bibdate =      "Mon Jul 11 14:09:33 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  keyword =      "Schwarz methods, parallel computing",
}

@InProceedings{Smith:1992:ISA,
  author =       "Barry F. Smith",
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "An iterative substructuring algorithm for problems in
                 three dimensions",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "91--98 (of xiii + 623)",
  year =         "1992",
  ISBN =         "0-89871-288-2",
  ISBN-13 =      "978-0-89871-288-9",
  LCCN =         "QA402.2 .I57 1991",
  bibdate =      "Mon Jul 11 14:09:33 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  keyword =      "domain decomposition, iterative substructuring",
}

@Article{Smith:1992:ODD,
  author =       "Barry F. Smith",
  title =        "An optimal domain decomposition preconditioner for
                 elasticity problems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "13",
  pages =        "364--378",
  year =         "1992",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  keyword =      "Schwarz methods, domain decomposition, Schur
                 complements, iterative substructuring",
}

@TechReport{Chan:1993:MDD,
  author =       "Tony F. Chan and Barry F. Smith",
  title =        "Multigrid and Domain Decomposition on Unstructured
                 Grids",
  number =       "93-42",
  institution =  "UCLA, Dept. of Mathematics",
  year =         "1993",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  note =         "To appear in the Proceedings of 1993 International
                 Conference on Domain Decomposition",
  abstract =     "Multigrid and domain decomposition methods have proven
                 to be versatile methods for the iterative solution of
                 linear and nonlinear systems of equations arising from
                 the discretization of PDEs. The efficiency of these
                 methods derives from the use of a grid hierarchy. In
                 some applications to problems on unstructured grids,
                 however, no natural multilevel structure of the grid is
                 available and thus must be generated as part of the
                 solution procedure. In this paper, we consider the
                 problem of generating a multilevel grid hierarchy when
                 only a fine, unstructured grid is given. We restrict
                 attention to problems in two dimensions. Our techniques
                 generate a sequence of coarser grids by first forming a
                 maximal independent set of the graph of the grid or its
                 dual and then applying a Cavendish type algorithm to
                 form the coarser triangulation. Iterates on the
                 different levels are combined using standard
                 interpolation and restriction operators. Numerical
                 tests indicate that convergence using this approach can
                 be as fast as standard multigrid and domain
                 decomposition methods on a structured mesh.",
  keyword =      "unstructured meshes, domain decomposition, multilevel
                 methods, multigrid",
}

@TechReport{Dryja:1993:SAI,
  author =       "Maksymilian Dryja and Barry F. Smith and Olof B.
                 Widlund",
  title =        "{Schwarz} analysis of iterative substructuring
                 algorithms for problems in three dimensions",
  number =       "MCS-P250-0791",
  institution =  pub-ANL,
  address =      pub-ANL:adr,
  year =         "1993",
  bibdate =      "Mon Jul 11 14:09:33 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  note =         "Published in \cite{Dryja:1994:SAI}.",
  keyword =      "domain decomposition, iterative substructuring,
                 Schwarz methods, wirebasket methods, Neumann--Neumann
                 methods",
}

@TechReport{Gropp:1993:DDS,
  author =       "William D. Gropp and Barry F. Smith",
  title =        "The design of data-structure-neutral libraries for the
                 iterative solution of sparse linear systems",
  number =       "MCS-P356-0393",
  institution =  pub-ANL,
  address =      pub-ANL:adr,
  year =         "1993",
  bibdate =      "Mon Jul 11 14:09:33 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  keyword =      "Krylov space methods, software libraries, sparse
                 linear systems, numerical libraries, parallel
                 computing",
}

@Article{Smith:1993:PII,
  author =       "Barry F. Smith",
  title =        "A parallel implementation of an iterative
                 substructuring algorithm for problems in three
                 dimensions",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "14",
  pages =        "406--423",
  year =         "1993",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  keyword =      "domain decomposition, iterative substructuring,
                 parallel computing",
}

@TechReport{Chan:1994:OSM,
  author =       "Tony F. Chan and Barry F. Smith and Jun Zou",
  title =        "Overlapping {Schwarz} Methods on Unstructured Meshes
                 using Non-matching Coarse Grids",
  number =       "94-8",
  institution =  "UCLA, Dept. of Mathematics",
  year =         "1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  abstract =     "We consider two level overlapping Schwarz domain
                 decomposition methods for solving the finite element
                 problems that arise from discretizations of elliptic
                 problems on general unstructured meshes in two and
                 three dimensions. Standard finite element interpolation
                 from the coarse to the fine grid may be used. Our
                 theory requires no assumption on the substructures
                 which constitute the whole domain, so each substructure
                 can be of arbitrary shape and of different size. The
                 global coarse mesh is allowed to be non-nested to the
                 fine grid on which the discrete problem is to be solved
                 and both the coarse meshes and the fine meshes need not
                 be quasi-uniform. In addition, the domains defined by
                 the fine and coarse grid need not be identical. The one
                 important constraint is that the closure of the coarse
                 grid must cover any portion of the fine grid boundary
                 for which Neumann boundary conditions are given. In
                 this general setting, our algorithms have the same
                 optimal convergence rate of the usual two level
                 overlapping domain decomposition methods on structured
                 meshes. The condition number of the preconditioned
                 system depends only on the (possibly small) overlap of
                 the substructures and the size of the coarse grid, but
                 is independent of the sizes of the subdomains.",
  keyword =      "unstructured meshes, non-nested coarse meshes, Schwarz
                 methods",
}

@Article{Dryja:1994:SAI,
  author =       "Maksymilian Dryja and Barry F. Smith and Olof B.
                 Widlund",
  title =        "{Schwarz} Analysis of Iterative Substructuring
                 Algorithms for Elliptic Problems in Three Dimensions",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "31",
  number =       "6",
  pages =        "1662--1694",
  month =        dec,
  year =         "1994",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  MRclass =      "65N55 (65N22 65N30)",
  MRnumber =     "95m:65211",
  MRreviewer =   "B. Kellogg",
  bibdate =      "Mon Jan 20 15:27:00 MST 1997",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Gropp:1994:SEP,
  author =       "William D. Gropp and Barry F. Smith",
  booktitle =    "Proceedings of Scalable Parallel Libraries
                 Conference",
  title =        "Scalable, Extensible, and Portable Numerical
                 Libraries",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "87--93",
  year =         "1994",
  bibdate =      "Mon Jul 11 14:09:33 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib",
  keyword =      "numerical libraries, scientific computing, parallel
                 computing",
}